Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/60, 84/86, 54/11, 58/652 quickly i.e. 109620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/60, 84/86, 54/11, 58/652 is 109620.
LCM(90/60, 84/86, 54/11, 58/652) = 109620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/60,84/86,54/11,58/652
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 90,84,54,58
Least Common Multiple of Numerators i.e. LCM of 90,84,54,58 is 109620.
GCF of Denominators means GCF of 60,86,11,652 as per the given fractions.
GCF of 60,86,11,652 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,84,54,58
2 | 90, 84, 54, 58 |
3 | 45, 42, 27, 29 |
3 | 15, 14, 9, 29 |
5, 14, 3, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 14 x 3 x 29 = 109620
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 90,84,54,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,84,54,58) = 2
common factors(in case of two or more numbers have common factors) = 108
GCF(90,84,54,58) x common factors =2 x 108 = 216
LCM(90,84,54,58) = ( 90 × 84 × 54 × 58 ) / 216
LCM(90,84,54,58) = 23677920 / 216
LCM(90,84,54,58) = 109620
Lets's calculate GCF of 60,86,11,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109620/1
Therefore the LCM of Fractions 90/60,84/86,54/11,58/652 is 109620
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 60,86,11,652 . The biggest common factor number is the GCF number.
So the greatest common factor 60,86,11,652 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 90/60, 84/86, 54/11, 58/652?
Answer: LCM of Numerators as per given numbers 90/60, 84/86, 54/11, 58/652 is
LCM of Numerators i.e. for 90,84,54,58 is 109620
GCF of denominators i.e. for 60,86,11,652 is 1.
Thus, LCM of Fractions is 109620.Finally, LCM of Fractions for 90/60, 84/86, 54/11, 58/652 is 109620.